26-30 July 2021
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Europe/Berlin timezone

Trace anomaly for Weyl fermions using the Breitenlohner–Maison scheme for γ∗

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20m
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Poster Quantum Field and String Theory T11: Quantum Field and String Theory

Speaker

Sami Abdallah (Institut für Theoretische Physik, Universität Leipzig)

Description

Computations of the trace anomaly of chiral fermions have raised a discussion regarding possible unitarity issues at one-loop in four-dimensional theories involving chiral fermions. This was manifested by the claimed existence of an imaginary CP-violating term in the trace of the energy momentum tensor – the Pontryagin density. We revisit this computation using dimensional regularization and standard Feynman diagram techniques. Working in n dimensions and employing the Breitenlohner-Maison scheme of a strictly four-dimensional γ∗, we show that the parity-odd term vanishes, preserving the reality of the trace and thus the unitarity of the Hamiltonian. We further show that the parity-even contribution is half that of a Dirac fermion.

Collaboration / Activity Poster

Primary authors

Sami Abdallah (Institut für Theoretische Physik, Universität Leipzig) Markus B. Fröb (Institut für Theoretische Physik, Universität Leipzig) Sebastián A. Franchino-Viñas (Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata; Institut für Theoretische Physik, Universität Heidelberg, 69120 Heidelberg, Germany)

Presentation Materials